All Questions ⁺⁰234661 Questions

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+1706

Help!

What are the coordinates of the points where the graphs of $f(x)=x^3 + x^2 - 3x + 5$ and $g(x)=x^4-7x^3+5x^2-18x+17$ intersect?
Give your answer as a list of points separated by commas, with the points ordered such that read more ..

ABJeIIy Aug 10, 2024

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+19

Help Please!

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probability that all three resulting pieces are shorter than 6 units?
I've seen the other posts, and I can't seem to figure it read more ..

helpmeeee Aug 10, 2024

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+673

Algebra

Find the real number k such that f(x) = f(k - x) for all real numbers x, where
f(x) = 3x^2 - 4x + 2x^2 + 15x.

magenta Aug 10, 2024

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+673

Algebra

Let $b$ be a constant. What is the smallest possible degree of the polynomial $f(x) + b \cdot g(x)$, where $f(x) = 2x^5 - 6x^4 - 4x^3 + 12x^2 + 7x - 5$ and $g(x) = x^15 - 3x^14 - 2x^13 - 6x^12 + 14x - 10$?

magenta Aug 10, 2024

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+743

Algebra

Let $f$ be a cubic polynomial such that $f(0) = 0$, $f(1) = 0$, $f(2) = 0$, and $f(3)=0$. What is the sum of the coefficients of $f$?

bingboy Aug 10, 2024

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+743

Algebra

Determine all of the following for $f(x) \cdot g(x)$, where $f(x) = -x^2+ 8x - 5$ and $g(x) = x^3 - 11x^2 + 2x$.
Leading term
Leading coefficient
Degree read more ..

bingboy Aug 10, 2024

+1

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+17

algebra problem, please help asap! due tonight...

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job 12 days earlier. If the job needs to be completed 32 days earlier, how many additional workers should be hired?

its.sabriebrie Aug 10, 2024

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+310

Algebra

Find the vertex of the graph of the equation y = -2x^2 + 8x + 15 - 3x^2 + 7x - 25

cooIcooIcooI17 Aug 10, 2024

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+633

Algebra

Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6 + 14x - 16y + 80$.

AnswerscorrectIy Aug 10, 2024

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4

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+633

Algebra

The graph of $y = ax^2 + bx + c$ has an axis of symmetry of $x = -1.$ If $a = 2,$ then find $b.$

AnswerscorrectIy Aug 10, 2024

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+1706

Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are together? (Two seatings are considered the same if one can be rotated to form the other.)

ABJeIIy Aug 10, 2024

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+2651

help plz

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all the psychology textbooks are together?

LiIIiam0216 Aug 10, 2024

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+2651

Need help

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?

LiIIiam0216 Aug 10, 2024

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2

+4

Pls help i dont want just answer pls explain

In the figure, if the measure of arc FG is 118 degrees , the measure of arc FQ is 25 degrees, and FR=FG then what is angle RPG, in degrees?

Thank read more ..

asjfj Aug 10, 2024

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+1055

Plz help

Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.

learnmgcat Aug 10, 2024

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+1055

Need help

Solve the inequality 4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1). Write your answer in interval notation.

learnmgcat Aug 10, 2024

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+820

Inequality

Solve the inequality
\frac{3-z}{z+1} \ge 2(z + 4).
Write your answer in interval notation.

Hi6942O Aug 10, 2024

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+38

PLS HELP

Let u and w be complex numbers such that
|u|=5, |w|=3, and |u+w|=6.
Calculate |u+2w| with proof.
Could someone explain to me the steps to do this? I dont really understand this subject.
Thanks read more ..

JRFPLSHelp Aug 10, 2024

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+1887

Geometry

Let k be a positive real number. The line x + y = 3k and the circle x^2 + y^2 = k - 4x - 6y are drawn. Find $k$ so that the line is tangent to the circle.

tomtom Aug 10, 2024

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4

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+1212

Geometry

Find the area of the region enclosed by the graph of the equation x^2-14x+3y+70=15+9y-y^2 that lies below the line y=x+1.

Akhain1 Aug 10, 2024

Aug 9, 2024

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+1212

Geometry

The equation of a circle in the coordinate plane can be written as $Ax^2 + 2y^2 + Bx + Cy = 50.$ The center of the circle is at $(2,1)$. Let $r$ be the radius of the circle. Find A+B+C+r.

Akhain1 Aug 9, 2024

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+484

Coordinates

Triangle $ABC$ has vertices $A(2, 3),$ $B(1, -8)$ and $C(-3, 2).$ The line containing the altitude through $A$ intersects the point $(0, y).$ What is the value of $y$?

gnistory Aug 9, 2024

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+556

Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12 and one SuperBall is drawn (at random) from red balls numbered from 13 to 20 When you buy a ticket, you choose three numbers from 1 to read more ..

booboo44 Aug 9, 2024

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+1323

Probability

A fair coin is tossed repeatedly until either heads comes up three times in a row or tails comes up three times in a row. What is the probability that the coin will be tossed more than 4 times? Express your answer as a common fraction.

blackpanther Aug 9, 2024

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+296

Probability

Triangle XYZ is equilateral, with O as its center. A point P is chosen at random. Find the probability that P is closer to point O than to any of the side lengths.

Stanry Aug 9, 2024

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